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Finding the Third Proportional to 4,627,984 and 9,967,184

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Solution

The third proportional to 4,627,984 and 9,967,184 is: 21,466,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627,984 : 9,967,184 = 9,967,184 : x
  2. Step 2: Convert to fraction form
    4,627,984/9,967,184 = 9,967,184/x
  3. Step 3: Cross multiply
    4,627,984x = 9,967,184 × 9,967,184
  4. Step 4: Simplify right side
    4,627,984x = 99,344,756,889,856
  5. Step 5: Solve for x
    x = 99,344,756,889,856/4,627,984
  6. Step 6: Final answer
    x = 21,466,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.